NONLINEAR DYNAMICS OF AN ELASTIC ROD WITH FRICTIONAL IMPACT

A model is presented for the impact with friction of a flexible body i n translation and rotation. This model consists of a system of nonline ar differential equations which considers the multiple collisions as w ell as frictional effects at the contacting end, and allows one to pre dict the rigid and elastic body motion after the impact. The kinetic e nergy is derived by utilizing a generalized velocity field theory for elastic solids. The model uses a dry coefficient of friction and a non linear contact force. We introduce a finite number of vibrational mode s to take into account the vibrational behavior of the body during imp act. The vibrations, the multiple collisions, and the angle of inciden ce angle, are found to be important factors for the kinematics of fric tional impact. Analytical and experimental results were compared to es tablish the accuracy of the model.